Question
Factorise:$2\text{x}^2+3\sqrt{3}\text{x}+3$
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Answer
$2\text{x}^2+3\sqrt{3}\text{x}+3$$2\text{x}^2+2\sqrt{3}\text{x}+\sqrt{3}\text{x}+3$
$=2\text{x}\big(\text{x}+\sqrt{3}\big)+\sqrt{3}\big(\text{x}+\sqrt{3}\big)$
$=\big(\text{x}+\sqrt{3}\big)\big(2\text{x}+\sqrt{3}\big)$
$=2\text{x}\big(\text{x}+\sqrt{3}\big)+\sqrt{3}\big(\text{x}+\sqrt{3}\big)$
$=\big(\text{x}+\sqrt{3}\big)\big(2\text{x}+\sqrt{3}\big)$
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